343 lines
8.6 KiB
Factor
343 lines
8.6 KiB
Factor
USING: math.intervals kernel sequences words math math.order
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arrays prettyprint tools.test random vocabs combinators
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accessors math.constants ;
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IN: math.intervals.tests
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[ empty-interval ] [ 2 2 (a,b) ] unit-test
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[ empty-interval ] [ 2 2 [a,b) ] unit-test
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[ empty-interval ] [ 2 2 (a,b] ] unit-test
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[ empty-interval ] [ 3 2 [a,b] ] unit-test
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[ T{ interval f { 1 t } { 2 t } } ] [ 1 2 [a,b] ] unit-test
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[ T{ interval f { 1 t } { 2 f } } ] [ 1 2 [a,b) ] unit-test
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[ T{ interval f { 1 f } { 2 f } } ] [ 1 2 (a,b) ] unit-test
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[ T{ interval f { 1 f } { 2 t } } ] [ 1 2 (a,b] ] unit-test
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[ T{ interval f { 1 t } { 1 t } } ] [ 1 [a,a] ] unit-test
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[ t ] [ { 3 t } { 3 f } endpoint< ] unit-test
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[ t ] [ { 2 f } { 3 f } endpoint< ] unit-test
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[ f ] [ { 3 f } { 3 t } endpoint< ] unit-test
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[ t ] [ { 4 f } { 3 t } endpoint> ] unit-test
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[ f ] [ { 3 f } { 3 t } endpoint> ] unit-test
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[ empty-interval ] [ 1 2 [a,b] empty-interval interval+ ] unit-test
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[ empty-interval ] [ empty-interval 1 2 [a,b] interval+ ] unit-test
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[ t ] [
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1 2 [a,b] -3 3 [a,b] interval+ -2 5 [a,b] =
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] unit-test
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[ t ] [
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1 2 [a,b] -3 3 (a,b) interval+ -2 5 (a,b) =
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] unit-test
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[ empty-interval ] [ 1 2 [a,b] empty-interval interval- ] unit-test
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[ empty-interval ] [ empty-interval 1 2 [a,b] interval- ] unit-test
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[ t ] [
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1 2 [a,b] 0 1 [a,b] interval- 0 2 [a,b] =
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] unit-test
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[ empty-interval ] [ 1 2 [a,b] empty-interval interval* ] unit-test
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[ empty-interval ] [ empty-interval 1 2 [a,b] interval* ] unit-test
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[ t ] [
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1 2 [a,b] 0 4 [a,b] interval* 0 8 [a,b] =
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] unit-test
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[ t ] [
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1 2 [a,b] -4 4 [a,b] interval* -8 8 [a,b] =
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] unit-test
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[ t ] [
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1 2 [a,b] -0.5 0.5 [a,b] interval* -1.0 1.0 [a,b] =
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] unit-test
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[ t ] [
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1 2 [a,b] -0.5 0.5 (a,b] interval* -1.0 1.0 (a,b] =
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] unit-test
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[ t ] [
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-1 1 [a,b] -1 1 (a,b] interval* -1 1 [a,b] =
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] unit-test
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[ t ] [ 1 2 [a,b] dup empty-interval interval-union = ] unit-test
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[ t ] [ empty-interval 1 2 [a,b] tuck interval-union = ] unit-test
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[ t ] [
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0 1 (a,b) 0 1 [a,b] interval-union 0 1 [a,b] =
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] unit-test
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[ t ] [
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0 1 (a,b) 1 2 [a,b] interval-union 0 2 (a,b] =
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] unit-test
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[ t ] [
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0 1 (a,b) 0 1 [a,b] interval-intersect 0 1 (a,b) =
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] unit-test
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[ empty-interval ] [ 0 5 [a,b] -1 [a,a] interval-intersect ] unit-test
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[ empty-interval ] [ 0 5 (a,b] 0 [a,a] interval-intersect ] unit-test
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[ empty-interval ] [ empty-interval -1 [a,a] interval-intersect ] unit-test
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[ empty-interval ] [ 0 5 (a,b] empty-interval interval-intersect ] unit-test
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[ t ] [
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0 1 (a,b) full-interval interval-intersect 0 1 (a,b) =
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] unit-test
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[ t ] [
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empty-interval empty-interval interval-subset?
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] unit-test
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[ t ] [
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empty-interval 0 1 [a,b] interval-subset?
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] unit-test
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[ t ] [
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0 1 (a,b) 0 1 [a,b] interval-subset?
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] unit-test
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[ f ] [
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0 0 1 (a,b) interval-contains?
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] unit-test
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[ t ] [
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0.5 0 1 (a,b) interval-contains?
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] unit-test
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[ f ] [
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1 0 1 (a,b) interval-contains?
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] unit-test
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[ empty-interval ] [ -1 1 (a,b) empty-interval interval/ ] unit-test
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[ t ] [ 0 0 331 [a,b) -1775 -953 (a,b) interval/ interval-contains? ] unit-test
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[ t ] [ -1 1 (a,b) -1 1 (a,b) interval/ [-inf,inf] = ] unit-test
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[ t ] [ -1 1 (a,b) 0 1 (a,b) interval/ [-inf,inf] = ] unit-test
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"math.ratios.private" vocab [
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[ t ] [
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-1 1 (a,b) 0.5 1 (a,b) interval/ -2.0 2.0 (a,b) =
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] unit-test
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] when
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[ f ] [ empty-interval interval-singleton? ] unit-test
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[ t ] [ 1 [a,a] interval-singleton? ] unit-test
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[ f ] [ 1 1 [a,b) interval-singleton? ] unit-test
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[ f ] [ 1 3 [a,b) interval-singleton? ] unit-test
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[ f ] [ 1 1 (a,b) interval-singleton? ] unit-test
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[ 2 ] [ 1 3 [a,b) interval-length ] unit-test
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[ 0 ] [ empty-interval interval-length ] unit-test
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[ t ] [ 0 5 [a,b] 5 [a,a] interval<= ] unit-test
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[ incomparable ] [ empty-interval 5 [a,a] interval< ] unit-test
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[ incomparable ] [ 5 [a,a] empty-interval interval< ] unit-test
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[ incomparable ] [ 0 5 [a,b] 5 [a,a] interval< ] unit-test
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[ t ] [ 0 5 [a,b) 5 [a,a] interval< ] unit-test
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[ f ] [ 0 5 [a,b] -1 [a,a] interval< ] unit-test
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[ incomparable ] [ 0 5 [a,b] 1 [a,a] interval< ] unit-test
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[ t ] [ -1 1 (a,b) -1 [a,a] interval> ] unit-test
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[ t ] [ -1 1 (a,b) -1 [a,a] interval>= ] unit-test
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[ f ] [ -1 1 (a,b) -1 [a,a] interval< ] unit-test
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[ f ] [ -1 1 (a,b) -1 [a,a] interval<= ] unit-test
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[ t ] [ -1 1 (a,b] 1 [a,a] interval<= ] unit-test
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[ t ] [ -1 1 (a,b] 1 2 [a,b] interval<= ] unit-test
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[ incomparable ] [ -1 1 (a,b] empty-interval interval>= ] unit-test
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[ incomparable ] [ empty-interval -1 1 (a,b] interval>= ] unit-test
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[ incomparable ] [ -1 1 (a,b] 1 2 [a,b] interval>= ] unit-test
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[ incomparable ] [ -1 1 (a,b] 1 2 [a,b] interval> ] unit-test
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[ t ] [ -1 1 (a,b] 1 2 (a,b] interval<= ] unit-test
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[ f ] [ 0 10 [a,b] 0 [a,a] interval< ] unit-test
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[ f ] [ 0 10 [a,b] 10 [a,a] interval> ] unit-test
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[ incomparable ] [ 0 [a,a] 0 10 [a,b] interval< ] unit-test
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[ incomparable ] [ 10 [a,a] 0 10 [a,b] interval> ] unit-test
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[ t ] [ 0 [a,a] 0 10 [a,b] interval<= ] unit-test
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[ incomparable ] [ 0 [a,a] 0 10 [a,b] interval>= ] unit-test
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[ t ] [ 0 10 [a,b] 0 [a,a] interval>= ] unit-test
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[ t ] [
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418
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418 423 [a,b)
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79 893 (a,b]
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interval-max
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interval-contains?
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] unit-test
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[ t ] [ 1 100 [a,b] -1 1 [a,b] interval/i [-inf,inf] = ] unit-test
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! Interval random tester
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: random-element ( interval -- n )
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dup full-interval eq? [
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drop 32 random-bits 31 2^ -
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] [
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dup to>> first over from>> first tuck - random +
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2dup swap interval-contains? [
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nip
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] [
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drop random-element
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] if
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] if ;
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: random-interval ( -- interval )
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10 random 0 = [ full-interval ] [
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2000 random 1000 - dup 2 1000 random + +
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1 random zero? [ [ neg ] bi@ swap ] when
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4 random {
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{ 0 [ [a,b] ] }
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{ 1 [ [a,b) ] }
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{ 2 [ (a,b) ] }
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{ 3 [ (a,b] ] }
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} case
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] if ;
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: random-unary-op ( -- pair )
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{
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{ bitnot interval-bitnot }
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{ abs interval-abs }
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{ 2/ interval-2/ }
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{ 1+ interval-1+ }
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{ 1- interval-1- }
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{ neg interval-neg }
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}
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"math.ratios.private" vocab [
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{ recip interval-recip } suffix
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] when
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random ;
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: unary-test ( -- ? )
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random-interval random-unary-op ! 2dup . .
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0 pick interval-contains? over first \ recip eq? and [
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2drop t
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] [
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[ [ random-element ] dip first execute ] 2keep
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second execute interval-contains?
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] if ;
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[ t ] [ 80000 [ drop unary-test ] all? ] unit-test
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: random-binary-op ( -- pair )
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{
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{ + interval+ }
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{ - interval- }
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{ * interval* }
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{ /i interval/i }
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{ mod interval-mod }
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{ rem interval-rem }
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{ bitand interval-bitand }
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{ bitor interval-bitor }
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{ bitxor interval-bitxor }
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! { shift interval-shift }
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{ min interval-min }
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{ max interval-max }
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}
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"math.ratios.private" vocab [
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{ / interval/ } suffix
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] when
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random ;
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: binary-test ( -- ? )
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random-interval random-interval random-binary-op ! 3dup . . .
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0 pick interval-contains? over first { / /i mod rem } member? and [
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3drop t
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] [
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[ [ [ random-element ] bi@ ] dip first execute ] 3keep
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second execute interval-contains?
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] if ;
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[ t ] [ 80000 [ drop binary-test ] all? ] unit-test
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: random-comparison ( -- pair )
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{
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{ < interval< }
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{ <= interval<= }
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{ > interval> }
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{ >= interval>= }
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} random ;
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: comparison-test ( -- ? )
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random-interval random-interval random-comparison
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[ [ [ random-element ] bi@ ] dip first execute ] 3keep
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second execute dup incomparable eq? [ 2drop t ] [ = ] if ;
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[ t ] [ 40000 [ drop comparison-test ] all? ] unit-test
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[ t ] [ -10 10 [a,b] 0 100 [a,b] assume> 0 10 (a,b] = ] unit-test
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[ t ] [ -10 10 [a,b] 0 100 [a,b] assume>= 0 10 [a,b] = ] unit-test
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[ t ] [ -10 10 [a,b] 0 100 [a,b] assume< -10 10 [a,b] = ] unit-test
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[ t ] [ -10 10 [a,b] -100 0 [a,b] assume< -10 0 [a,b) = ] unit-test
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[ t ] [ -10 10 [a,b] -100 0 [a,b] assume<= -10 0 [a,b] = ] unit-test
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[ t ] [ -10 10 [a,b] 0 100 [a,b] assume<= -10 10 [a,b] = ] unit-test
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[ t ] [ -10 10 [a,b] interval-abs 0 10 [a,b] = ] unit-test
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! Test that commutative interval ops really are
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: random-interval-or-empty ( -- )
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10 random 0 = [ empty-interval ] [ random-interval ] if ;
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: random-commutative-op ( -- op )
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{
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interval+ interval*
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interval-bitor interval-bitand interval-bitxor
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interval-max interval-min
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} random ;
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[ t ] [
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80000 [
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drop
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random-interval-or-empty random-interval-or-empty
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random-commutative-op
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[ execute ] [ swapd execute ] 3bi =
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] all?
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] unit-test
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